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Finding the Third Proportional to 238,171,817 and 515,920,420

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Solution

The third proportional to 238,171,817 and 515,920,420 is: 1,117,570,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,171,817 : 515,920,420 = 515,920,420 : x
  2. Step 2: Convert to fraction form
    238,171,817/515,920,420 = 515,920,420/x
  3. Step 3: Cross multiply
    238,171,817x = 515,920,420 × 515,920,420
  4. Step 4: Simplify right side
    238,171,817x = 266,173,879,772,976,384
  5. Step 5: Solve for x
    x = 266,173,879,772,976,384/238,171,817
  6. Step 6: Final answer
    x = 1,117,570,849.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.